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NEET PHYSICSEasy

If the screen is moved away from the plane of the slits in Young's double slit experiment, then the:

A

angular separation of the fringes increases.

B

angular separation of the fringes decreases.

C

linear separation of the fringes increases.

D

linear separation of the fringes decreases.

Step-by-Step Solution

  1. Formulas: In Young's Double Slit Experiment, the linear fringe width (separation) is given by β=λDd\beta = \frac{\lambda D}{d}, and the angular fringe width (separation) is given by θ=λd\theta = \frac{\lambda}{d}, where λ\lambda is the wavelength, DD is the distance between the slits and the screen, and dd is the distance between the slits.
  2. Analysis: The problem states that the screen is moved away from the slits, which means the distance DD increases.
  3. Effect on Linear Separation: Since βD\beta \propto D, increasing DD will cause the linear separation of the fringes (β\beta) to increase.
  4. Effect on Angular Separation: The angular separation θ\theta depends only on λ\lambda and dd. It is independent of the screen distance DD. Therefore, the angular separation remains constant.
  5. Conclusion: The correct effect is that the linear separation of the fringes increases.
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